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Thread: A Cantor set

  1. Oct 26th 2008, 01:13 PM #1
    Veve
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    A Cantor set

    Is this set {0,1,1/2,1/3,...} a Cantor set in [0,1] with the discrete topology?
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  2. Oct 26th 2008, 03:20 PM #2
    HallsofIvy
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    What do you mean by "a" Cantor set?
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  3. Oct 29th 2008, 01:58 PM #3
    Veve
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    By a Cantor set I mean that it should be perfect, totaly disconnected and nowhere dense.
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  4. Oct 29th 2008, 02:12 PM #4
    Plato
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    Quote Originally Posted by Veve View Post
    By a Cantor set I mean that it should be perfect, totaly disconnected and nowhere dense.
    If a set X is a perfect set then if x \in X, x is a limit point of X.
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